The number 3013
3013 is a composite number with 4 divisors. Its prime factorisation is 23 × 131. Divisors (4): 1, 23, 131, 3013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3013: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 131, the product of two primes.
- 2
3013 is composite. Its prime factorisation is
- 3
The divisors add up to 3168; without 3013 itself that is 155, so 3013 is deficient (155 is less than 3013). Euler's totient φ(3013) = 2860 numbers up to 3013 share no factor with it.
- 4
The digits of 3013 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3013 = 23 \times 131 \]
3013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3168 |
| Euler totient φ(n) | 2860 |
| Square | 9078169 |
| Cube | 27352523197 |
| Square root | 54.890801 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.013 × |
3013 in other forms
| Form | Value |
|---|---|
| In words | three thousand and thirteen |
| Roman numerals | MMMXIII |
| Binary (base 2) | 101111000101 |
| Octal (base 8) | 5705 |
| Hexadecimal (base 16) | BC5 |
| Base 3 | 11010121 |
| As time | 3013 seconds = 50 min 13 s |
Is 3013 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3013 a prime number?
No. 3013 = 23 × 131, so it is divisible by 23.
What are the factors of 3013?
1, 23, 131, 3013.
What is 3013 in binary?
101111000101 (hexadecimal BC5, octal 5705).
What is the square root of 3013?
About 54.8908.
What is 3013 in Roman numerals?
MMMXIII.
Is 3013 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 3013?
3013 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 131, the product of two primes.